Basic Math Examples

$(1.7 n^{2} + 8.2 n - 2.7) - (n^{2} - 4.5 n + 3)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$1.7 n^{2} + 8.2 n - 2.7 - n^{2} - (- 4.5 n) - 1 \cdot 3$

Step 1.2

Simplify.

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Step 1.2.1

Multiply $- 4.5$ by $- 1$ .

$1.7 n^{2} + 8.2 n - 2.7 - n^{2} + 4.5 n - 1 \cdot 3$

Step 1.2.2

Multiply $- 1$ by $3$ .

$1.7 n^{2} + 8.2 n - 2.7 - n^{2} + 4.5 n - 3$

Step 2

Simplify by adding terms.

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Step 2.1

Subtract $n^{2}$ from $1.7 n^{2}$ .

$0.7 n^{2} + 8.2 n - 2.7 + 4.5 n - 3$

Step 2.2

Add $8.2 n$ and $4.5 n$ .

$0.7 n^{2} + 12.7 n - 2.7 - 3$

Step 2.3

Subtract $3$ from $- 2.7$ .

$0.7 n^{2} + 12.7 n - 5.7$